4 resultados para Markov states

em CORA - Cork Open Research Archive - University College Cork - Ireland


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In this thesis I present the work done during my PhD. The Thesis is divided into two parts; in the first one I present the study of mesoscopic quantum systems whereas in the second one I address the problem of the definition of Markov regime for quantum system dynamics. The first work presented is the study of vortex patterns in (quasi) two dimensional rotating Bose Einstein condensates (BECs). I consider the case of an anisotropy trapping potential and I shall show that the ground state of the system hosts vortex patterns that are unstable. In a second work I designed an experimental scheme to transfer entanglement from two entangled photons to two BECs. This work is meant to propose a feasible experimental set up to bring entanglement from microscopic to macroscopic systems for both the study of fundamental questions (quantum to classical transition) and technological applications. In the last work of the first part another experimental scheme is presented in order to detect coherences of a mechanical oscillator which is assumed to have been previously cooled down to the quantum regime. In this regime in fact the system can rapidly undergo decoherence so that new techniques have to be employed in order to detect and manipulate their states. In the scheme I propose a micro-mechanical oscillator is coupled to a BEC and the detection is performed by monitoring the BEC with a negligible back-action on the cantilever. In the second part of the thesis I give a definition of Markov regime for open quantum dynamics. The importance of such definition comes from both the mathematical description of the system dynamics and from the understanding of the role played by the environment in the evolution of an open system. In the Markov regime the mathematical description can be simplified and the role of the environment is a passive one.

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In this thesis I theoretically study quantum states of ultracold atoms. The majority of the Chapters focus on engineering specific quantum states of single atoms with high fidelity in experimentally realistic systems. In the sixth Chapter, I investigate the stability and dynamics of new multidimensional solitonic states that can be created in inhomogeneous atomic Bose-Einstein condensates. In Chapter three I present two papers in which I demonstrate how the coherent tunnelling by adiabatic passage (CTAP) process can be implemented in an experimentally realistic atom chip system, to coherently transfer the centre-of-mass of a single atom between two spatially distinct magnetic waveguides. In these works I also utilise GPU (Graphics Processing Unit) computing which offers a significant performance increase in the numerical simulation of the Schrödinger equation. In Chapter four I investigate the CTAP process for a linear arrangement of radio frequency traps where the centre-of-mass of both, single atoms and clouds of interacting atoms, can be coherently controlled. In Chapter five I present a theoretical study of adiabatic radio frequency potentials where I use Floquet theory to more accurately model situations where frequencies are close and/or field amplitudes are large. I also show how one can create highly versatile 2D adiabatic radio frequency potentials using multiple radio frequency fields with arbitrary field orientation and demonstrate their utility by simulating the creation of ring vortex solitons. In the sixth Chapter I discuss the stability and dynamics of a family of multidimensional solitonic states created in harmonically confined Bose-Einstein condensates. I demonstrate that these solitonic states have interesting dynamical instabilities, where a continuous collapse and revival of the initial state occurs. Through Bogoliubov analysis, I determine the modes responsible for the observed instabilities of each solitonic state and also extract information related to the time at which instability can be observed.

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This thesis explores the meaning-making practices of migrant and non-migrant children in relation to identities, race, belonging and childhood itself in their everyday lives and in the context of ‘normalizing’ discourses and spaces in Ireland. The relational, spatial and institutional contexts of children’s worlds are examined in the arenas of school, home, family, peer groups and consumer culture. The research develops a situated account of children’s complex subject positions, belongings and exclusions, as negotiated within discursive constructs, emerging in the ‘in-between’ spaces explored with other children and with adults. As a peripheral EU area both geographically and economically, Ireland has traditionally been a country of net emigration. This situation changed briefly in the late 1990s to early 2000s, sparking broad debate on Ireland’s perceived ‘new’ ethnic, cultural and linguistic diversity arising from the arrival of migrant people both from within and beyond the EU as workers and as asylum seekers, and drawing attention to issues of race, identity, equality and integration in Irish society. Based in a West of Ireland town where migrant children and children of migrants comprise very small minorities in classroom settings, this research engages with a particular demographic of children who have started primary school since these changes have occurred. It seeks to represent the complexities of the processes which constitute children’s subjectivities, and which also produce and reproduce race and childhood itself in this context. The role of local, national and global spaces, relational networks and discursive currents as they are experienced and negotiated by children are explored, and the significance of embodied, sensory and affective processes are integrated into the analysis. Notions of the functions and rhetorics of play and playfulness (Sutton-Smith 1997) form a central thread that runs throughout the thesis, where play is both a feature of children’s cultural worlds and a site of resistance or ‘thinking otherwise’. The study seeks to examine how children actively participate in (re)producing definitions of both childhood and race arising in local, national and global spaces, demonstrating that while contestations of the boundaries of childhood discourses are contingently successful, race tends to be strongly reiterated, clinging to bodies and places and compromising belonging. In addition, it explores how children access belongings through agentic and imaginative practices with regard to peer and family relationships, particularly highlighting constructions of home, while also illustrating practices of excluding children positioned as unintelligible, including the role of silences in such situations. Finally, drawing on teachers’ understandings and on children’s playful micro-level negotiations of race, the study argues that assumptions of childhood innocence contribute to justifying depoliticised discourses of race in the early primary school years, and also tend to silence children’s own dialogues with this issue. Central throughout the thesis is an emphasis on the productive potentials of children’s marginal positioning in processes of transgressing definitional boundaries, including the generation of post-race conceptualisations that revealed the borders of race as performative and fluid. It suggests that interrupting exclusionary raced identities in Irish primary schools requires engagement with children’s world-making practices and the multiple resources that inform their lives.

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This thesis examines the tension between patent rights and the right to health and it recognizes patent rights on pharmaceutical products as one of the factors responsible for the problem of lack of access to affordable medicines in developing countries. The thesis contends that, in order to preserve their patent policy space and secure access to affordable medicines for their citizens, developing countries should incorporate a model of human rights into the design, implementation, interpretation, and enforcement of their national patent laws. The thesis provides a systematic analysis of court decisions from four key developing countries (Brazil, India, Kenya, and South Africa) and it assesses how the national courts in these countries resolve the tension between patent rights and the right to health. Essentially, this thesis demonstrates how a model of human rights can be incorporated into the adjudication of disputes involving patent rights in national courts. Focusing specifically on Brazil, the thesis equally demonstrates how policy makers and law makers at the national level can incorporate a model of human rights into the design or amendment of their national patent law. This thesis also contributes to the ongoing debate in the field of business and human rights with regard to the mechanisms that can be used to hold corporate actors accountable for their human rights responsibilities. This thesis recognizes that, while states bear the primary responsibility to respect, protect, and fulfil the right to health, corporate actors such as pharmaceutical companies also have a baseline responsibility to respect the right to health. This thesis therefore contends that pharmaceutical companies that own patent rights on pharmaceutical products can be held accountable for their right to health responsibilities at the national level through the incorporation of a model of civic participation into a country’s patent law system.